Been reading this thread ever since it came out, and it's really interesting. This theard made a bit of a stir in the industry when it started, at least for us interesseret in microbiology.
I am a professional brewer in Copenhagen, I used to work for a small craft brewery that is now a very large craft brewery. I just quit there to start my own brewery. And in that regard, I worked at a brewpub and we were producing some of the best rated IPA's in the country. For years we used S-04 as our house strain for almost everything. And we always had this somewhat hot and boozy alcohol flavor and S-04 really mutes hop aroma rather than accentuating it. We tried every permutation of recipes and mashing and fermentation techniques over the years, and never really got it to work - at least in the way we wanted. I recognize S-04 quite easily now, and that is why I'm quite confident in saying that I doubt that Tree House is using S-04 as their base yeast. Having had a few of their beers, I didn't recognize the flavor as S-04 at all. However I'm also sure it's not something like London Ale III, but it's not far off.
We ended up having to assault the beers with dry-hopping to overcome this muting effect and it never really went our way. Only when we switched to LAIII derivatives and other English strains did we get more hop aroma and flavor.
Just thinking of the logistics, if Tree House was using a dry yeast blend, then they have to pitch fresh yeast every time, otherwise their blend would get out of balance after the first fermentation. That means maybe 5-10 kg of dry yeast pr. Tank (I forget their biggest tank size but I believe the GEA brewhouse is around 80 hL). That's a massive cost, something I really can't see them doing for every brand. Them doing it every now and then is possible, but for every IPA they make or even the majority? No way. The cost of yeast pr batch would be enormous.
However, it seems like that from other threads and articles that they do indeed use a mixed yeast culture for Julius, which seems reasonable, as it started life as a homebrew recipe from what I know.
Just throwing another thought out there; I know of at least 2 breweries that intentionally add different yeasts post fermentation, in order to screw up the blend so that people can't easily culture up their dregs and to keep their real yeast "secret". I'm not saying TH are doing that, it's just worth mentioning that it happens. Contamination in the brewery is also possible.
Anyway, just throwing some professional S-04 experience out there.